Question

33 cows can graze a field in 12 days. How many cows will graze the same field in 9 days​

Answer 1

Answer:

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Step-by-step explanation:

Let x=number of cows needed to graze the field in 9 days

If 33 cows can graze a field in 12 days, then one cow can graze the field in 33*12=396 days. This means that one cow grazes at the rate of 1/396 fields per day;33 cows graze at the rate of 33/396=1/12 field per day

x cows graze at the rate of x/396 fields per day and we are told that this equals 1/9 fields per day; soooooo

x/396=1/9

9x=396

x=44 cows----Number of cows needed to graze the field in 9 days. 

Another way to look at it: 

It takes 33*12=396 cow-days (as opposed to man-hours) to graze the field. 

This means that 1 cow can graze the field in 396/1=396 days

44 cows can graze the field in 396/44=9 days

33 cows can graze the field in 396/33=12 days